CAIE M1 2011 November — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2011
SessionNovember
TopicVectors Introduction & 2D

3
\includegraphics[max width=\textwidth, alt={}, center]{28562a1b-ec9a-40d2-bbb3-729770688971-2_476_714_744_719} Three coplanar forces of magnitudes \(15 \mathrm {~N} , 12 \mathrm {~N}\) and 12 N act at a point \(A\) in directions as shown in the diagram.
  1. Find the component of the resultant of the three forces
    (a) in the direction of \(A B\),
    (b) perpendicular to \(A B\).
  2. Hence find the magnitude and direction of the resultant of the three forces.